How do I write a system of equations for the following situation?

Question

The AAA Five and Dime has a sale on jewelry and hair accessories.  Either 5 pieces of jewelry and 8 accessories can be purchased for $34.50 or 2 pieces of jewelry and 16 hair accessories for $33.00.

 

5x+8y=34.50

2x+16y=33.00

 

Is this right?

Answer 1

Yes , it is correct. Just go ahead and solve it by elimination method.

 

  Multiply first equation by -2 and add with 2nd , you eliminate Y .